Video: Dab tsi yog qhov txwv ntawm E x li x mus txog infinity?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov txwv ntawm tsis kawg ntawm ib tug polynomial uas nws tus thawj coefficient yog zoo tsis kawg . Los ntawm tus exponent x x mus ∞ ∞, qhov ntau ex e x kev ∞ ∞.
Yog li ntawd, qhov kev txwv ntawm E li x mus txog infinity yog dab tsi?
Cov txwv ntawm tsis kawg ntawm ib tug polynomial uas nws tus thawj coefficient yog zoo tsis kawg . Los ntawm tus exponent x x mus ∞ ∞, qhov ntau ex e x kev ∞ ∞.
Ib yam li ntawd, qhov txwv ntawm E yog dab tsi? n yuav tsum tau infinity kom tau raws nraim e . e opaque=2.71828182845904523536028747135266249ธ Tus lej e tuaj kawm lej nyob rau hauv ib txoj kev me heev. Nws xub tshwm sim nyob rau hauv ib lub rooj ntawm ntuj logarithms, txij li thaum lub ntuj logarithm ntawm e yog 1.
Hais txog qhov no, E X puas muaj kev txwv?
Piav: Lub txwv ua tsis muaj nyob vim li x nce ntxiv yam tsis muaj daim ntawv cog lus, ex kuj nce tsis muaj khi.
E rau qhov infinity yog dab tsi?
Thaum twg e raug tsa kom muaj hwj chim tsis kawg , nws txhais tau tias e yog nce ntawm tus nqi siab heev thiab li no nws yog tending rau ib tug loj heev thiab li no peb hais tias e tsa rau lub hwj chim tsis kawg yog tsis kawg.
Pom zoo:
Thaum x mus txog infinity Qhov txwv yog dab tsi?
Nyob rau hauv cov ntaub ntawv no, vim hais tias ob nqe lus yog tib yam degree, qhov txwv yog sib npaug zos rau 0 (thiab ib tug ceev glance ntawm daim duab ntawm y = sqrt(x-1) - sqrt(x) paub meej tias raws li x mus infinity, y mus kom ze 0)
Dab tsi yog qhov kev hloov pauv ntawm cov khoom uas txav ntawm qhov chaw mus rau qhov chaw ntawm - 12 m?
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Dab tsi yog qhov txawv ntawm qhov kev txwv tsis kawg thiab kev txwv ntawm infinity?
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